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Consider a flat-bed truck whose mass, including its contents, is supported equally by its four tires. Assume the truck has four-wheel drive, so the drive train translates the power of the motor equally to all four wheels. The mass of just the truck is m2, and the coefficient of static friction between the tires and the road is μs. A metal crate of mass m1 sits on the flat, horizontal, wooden bed of the truck, and μk is the coefficient of kinetic friction between the bed and the metal crate. Part (b)  Assume the crate slips in the bed of the truck as the truck is accelerating. Write an expression for the maximum possible acceleration of the truck so that its tires don't slip. The picture is a hint that they provided

Consider a flat-bed truck whose mass, including its contents, is supported equally by its four tires. Assume the truck has four-wheel drive, so the drive train translates the power of the motor equally to all four wheels. The mass of just the truck is m2, and the coefficient of static friction between the tires and the road is μs. A metal crate of mass m1 sits on the flat, horizontal, wooden bed of the truck, and μk is the coefficient of kinetic friction between the bed and the metal crate. Part (b)  Assume the crate slips in the bed of the truck as the truck is accelerating. Write an expression for the maximum possible acceleration of the truck so that its tires don't slip. The picture is a hint that they provided

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Consider a flat-bed truck whose mass, including its contents, is supported equally by its four tires. Assume the truck has four-wheel drive, so the drive train translates the power of the motor equally to all four wheels. The mass of just the truck is m2, and the coefficient of static friction between the tires and the road is μs. A metal crate of mass m1 sits on the flat, horizontal, wooden bed of the truck, and μk is the coefficient of kinetic friction between the bed and the metal crate.

Part (b)  Assume the crate slips in the bed of the truck as the truck is accelerating. Write an expression for the maximum possible acceleration of the truck so that its tires don't slip.

The picture is a hint that they provided 

 

-If the crate slips, then it has a different acceleration than the truck and it must be treated separately. What follows are free-body diagrams of the crate and the truck: TRUCK CRATE 人 The positive y direction is upward and the acceleration is forward, in the positive z direction The crate slips backward relative to the bed of the truck so it experiences a forrward force of kinetic friction, where fx FNI. where FNI IS the normal force on the crate. According to Newton's third law, the crate exerts a force of equal magnitude, but opposite direction, on the truck.
Transcribed Image Text:-If the crate slips, then it has a different acceleration than the truck and it must be treated separately. What follows are free-body diagrams of the crate and the truck: TRUCK CRATE 人 The positive y direction is upward and the acceleration is forward, in the positive z direction The crate slips backward relative to the bed of the truck so it experiences a forrward force of kinetic friction, where fx FNI. where FNI IS the normal force on the crate. According to Newton's third law, the crate exerts a force of equal magnitude, but opposite direction, on the truck.
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